An elementary characterization of the Gini index
AbstractThe Gini coefficient or index is perhaps one of the most used indicators of social and economic conditions. In this paper we characterize the Gini index as the unique function that satisfies the properties of scale invariance, symmetry, proportionality and convexity in similar rankings. Furthermore, we discuss a simpler way to compute it.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 36328.
Date of creation: 31 Jan 2012
Date of revision:
Gini index; income inequality; axiomatization;
Find related papers by JEL classification:
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
- I31 - Health, Education, and Welfare - - Welfare and Poverty - - - General Welfare
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-02-20 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Ebert, Udo, 1987. "Size and distribution of incomes as determinants of social welfare," Journal of Economic Theory, Elsevier, vol. 41(1), pages 23-33, February.
- Aaberge, Rolf, 2001. "Axiomatic Characterization of the Gini Coefficient and Lorenz Curve Orderings," Journal of Economic Theory, Elsevier, vol. 101(1), pages 115-132, November.
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